The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. However, please pay special attention to the individual works to make sure there are no copyright restrictions indicated. Individual works may require securing other permissions from the original copyright holder.
Volume
65B
Journal of Research of the National Bureau of Standards
Abstract
Two new procedures are developed for determining lower bounds to the eigenvalues of linear operators. The methods are based on the theory of semibounded self-adjoint operators in separable Hilbert space. Computation of the lower bounds is reduced to the solution of matrix problems. The procedures have immediate application in the estimation of eigenvalues and eigenvectors of differential operators appearing in quantum mechanics.
Addeddate
2012-10-05 14:14:37
Cite
J. Res. Natl. Bur. Stand., Sec. B: Math.& Math. Phys., Vol. 65B, No. 2, p. 105